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<title>Tracking Damaps</title>
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<p>Track with a DAMAP or a TREE (which is faster but not fastest), is <b>
<font color="#FF0000">always a TPSA</font></b> operation. </p>
<p>This is illustrated in the example program found
<a href="../simple_programs/z_damaps_tracking.f90">here</a>.</p>
<p>The crucial verification that the tracking is <b><font color="#FF0000">always 
a TPSA</font></b>&nbsp; (includes a constant part), is found in the lines</p>
<p><font face="Courier">map_track=TOTAL_DA_MAP<br>
rot=TOTAL_DA_MAP-(TOTAL_DA_MAP.sub.0)&nbsp;&nbsp;&nbsp; <font color="#009933">! 
substracts the zeroth component</font><br>
map_track_da=rot <br>
&nbsp;</font></p>
<p>where the constant part is removed. </p>
<p>&nbsp;</p>
<p>The maps is iterated for hundred turns with the trees <font face="Courier">
map_track and map_track_da as well as with the original damaps. The results are 
depicted in this graph:</font></p>
<p align="center">
<img border="0" src="track_result.jpg" width="440" height="362"></p>
<p align="left">The <font color="#0000FF">curve</font> centered around (0,0) obviously depicts the contrived 
DA tracking; the <font color="#FF0000">other one</font> depicts TPSA tracking..</p>

<p align="center"><font color="#0000FF" size="5"><b>
<a href="../simple_programs/z_damaps_tracking.f90">Program for this example</a></b></font></p>

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